25060 octal to binary

Here we will show you how to convert the octal number 25060 to a binary number. First note that the octal number system has eight different digits (0 1 2 3 4 5 6 7) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 25060 from octal to binary are explained below.

Step 1)
Multiply the last digit in 25060 by 8⁰, multiply the second to last digit in 25060 by 8¹, multiply the third to last digit in 25060 by 8², multiply the fourth to last digit in 25060 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
6 × 8¹ = 48
0 × 8² = 0
5 × 8³ = 2560
2 × 8⁴ = 8192

Step 2)
Next, we add up all the products we got from Step 1, like this:

0 + 48 + 0 + 2560 + 8192 = 10800

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

10800 ÷ 2 = 5400 with 0 remainder
5400 ÷ 2 = 2700 with 0 remainder
2700 ÷ 2 = 1350 with 0 remainder
1350 ÷ 2 = 675 with 0 remainder
675 ÷ 2 = 337 with 1 remainder
337 ÷ 2 = 168 with 1 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 25060 octal to binary:

25060 octal = 10101000110000 binary

Octal to Binary Converter
Here you can convert another octal number to binary. Remember, octal numbers only include digits 0 through 7.

25061 octal to binary
Go here for the next octal number on our list that we have converted to binary.